Question

Question 2(vi)
Factorise the following expressions
$5x^{2}y-15x{y}^2$

Answer 1

$5x^{2}y=5\times x\times x\times y15x{y}^2=3\times 5\times x\times y\times yThecommonfactorsare5,xandy\therefore 5x^{2}y-15x{y}^2=(5\times x\times x\times y)-(3\times 5\times x\times y\times y)=5\times x\times y[x-(3\times y\left)\right]=5xy(x-3y)$